Least Common Multiple of 348/296, 6815/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 348/296, 6815/618 quickly i.e. 40890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/296, 6815/618 is 40890.

LCM(348/296, 6815/618) = 40890

LCM of 348/296, 6815/618

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 348/296,6815/618

Given numbers are 348/296,6815/618

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 348,6815

Least Common Multiple of Numerators i.e. LCM of 348,6815 is 81780.

GCF of Denominators means GCF of 296,618 as per the given fractions.

GCF of 296,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,6815

LCM of Fractions 348/296,6815/618 is 40890

29 348, 6815
12, 235

∴ So the LCM of the given numbers is 29 x 12 x 235 = 81780

Least Common Multiple of 348,6815 with GCF Formula

Least Common Multiple of 348,6815 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 348,6815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,6815) = 29

common factors(in case of two or more numbers have common factors) = 1

GCF(348,6815) x common factors =29 x 1 = 29

LCM(348,6815) = ( 348 × 6815 ) / 29

LCM(348,6815) = 2371620 / 29

LCM(348,6815) = 81780


Lets's calculate GCF of 296,618

2 296, 618
148, 309

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81780/2

Therefore the LCM of Fractions 348/296,6815/618 is 40890

Greatest Common Factor of 296,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,618 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 296,618 . The biggest common factor number is the GCF number.
So the greatest common factor 296,618 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 348/296, 6815/618

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 348/296, 6815/618?

Answer: LCM of Numerators as per given numbers 348/296, 6815/618 is

LCM of Numerators i.e. for 348,6815 is 81780

GCF of denominators i.e. for 296,618 is 2.

Thus, LCM of Fractions is 40890.Finally, LCM of Fractions for 348/296, 6815/618 is 40890.